Papers

  1. K. Kuribayashi, A comparison between two de Rham complexes in diffeology, Proceedings of the AMS, 149 (2021), 4963-4972. pdf
  2. K. Kuribayashi, Simplicial cochain algebras for diffeological spaces, Indagationes Mathematicae, 31 (2020), 934-967. pdf https://doi.org/10.1016/j.indag.2020.08.002
  3. K. Kuribayashi, On the whistle cobordism operation in string topology of classifying spaces, Documenta Mathematica, 25 (2020), 125-142. pdf
  4. K. Kuribayashi and L. Menichi, The Batalin--Vilkovisky algebra in the string topology of classifying spaces, Canadian Journal of Mathematics, 71 (2019), 843-889. pdf
  5. K. Kuribayashi, Derived string topology: from the view point of spectral sequences and algebraic models for spaces, (in Japanese), Sugaku, 71 (2019), 225-251. Sugaku J-STAGE
  6. K. Kuribayashi and Y. Numata, A topos associated with a colored category, Journal of Combinatorial Theory, Series A, 156 (2018), 142-163. pdf
  7. T. Aoki and K. Kuribayashi, On the category of stratifolds, Cahiers de Topologie et Géométrie Différentielle Catégoriques, 58 (2017), 131-160. pdf
  8. K. Kuribayashi, The ghost length and duality between chain and cochain type levels, Homology, Homotopy and Applications, 18 (2016), 107-132. pdf
  9. K. Kuribayashi and Y. Momose, On Mitchell's embedding theorem for a quasi-schemoid, Journal of Algebra, 458 (2016), 222-248. pdf
  10. K. Kuribayashi, L. Menichi and T. Naito, Derived string topology and the Eilenberg--Moore spectral sequence, Israel Journal of Mathematics, 209 (2015), 745-802. pdf
  11. K. Kuribayashi and K. Matsuo, Association schemoids and their categories, Applied Categorical Structures, 23 (2015), 107-136. pdf
  12. K. Kuribayashi, On strong homotopy for quasi-schemoids, Theory and Applications of Categories, 30 (2015), 1-14. pdf
  13. K. Kuribayashi, L. Menichi and T. Naito, Behavior of the Eilenberg--Moore spectral sequence in derived string topology, Topology and its Applications, 164 (2014), 24-44. pdf
  14. K. Kuribayashi, Upper and lower bounds of the (co)chain type level of a space, Algebras and Representation Theory, 16 (2013), 129-153. pdf
  15. K. Kuribayashi, On the levels of maps and topological realization of objects in a triangulated category, J. Pure and Appl. Algebra, 216 (2012), 752-765. pdf
  16. K. Kuribayashi, The Hochschild cohomology ring of the singular cochain algebra of a space, Annales de l'Institut Fourier (Grenoble), 61 no. 5 (2011), 1779-1805. pdf
  17. K. Kuribayashi, On extensions of a symplectic class, Differential Geometry and its Applications, 29 (2011), 801-815. pdf
  18. K. Kuribayashi, Rational visibility of a Lie group in the monoid of self-homotopy equivalences of a homogeneous space, Homology, Homotopy and Applications, 13 (2011), 349-379. abstract, pdf
  19. K. Kuribayashi, On the rational cohomology of the total space of the universal fibration with an elliptic fibre, Contemporary Math. vol. 519, Amer. Math. Soc., Providence, RI, 2010, 165-179. pdf
  20. Yoshihiro Hirato, Katsuhiko Kuribayashi and Nobuyuki Oda, A function space model approach to the rational evaluation subgroups, Math. Z., 258(2008), 521-555. abstract
  21. D. Chataur and K. Kuribayashi, An operadic model for a mapping space and its associated spectral sequence, J. Pure and Appl. Algebra, 210 (2007), 321-342. abstract
  22. K. Kuribayashi and M. Yokotani, Iterated cyclic homology, Kodai Mathematical Journal, 30 (2007), 19-40. abstract
  23. K. Kuribayashi, M. Mimura and T. Nishimoto, Twisted tensor products related to the cohomology of the classifying spaces of loop groups, Memoirs of the AMS, 180 (2006), no. 849. abstract
  24. K. Kuribayashi, A rational model for the evaluation map, Georgian Mathematical Journal, 13 (2006), 127-141. abstract
  25. K. Kuribayashi and T. Yamaguchi, A rational splitting of a based mapping space, Algebraic & Geometric Topology, 6 (2006), 309-327. abstract http://arxiv.org/abs/0902.4876
  26. K. Kuribayashi, Eilenberg--Moore spectral sequence calculation of function space cohomology, manuscripta mathematica, 114 (2004), 305-325. abstract
  27. A. Kono and K. Kuribayashi, Module derivations and cohomological splitting of adjoint bundles, Fundamenta Mathematicae, 180 (2003), 199-221. abstract
  28. K. Kuribayashi, Module derivations and non triviality of an evaluation fibration, Homology, Homotopy and Applications 4(1)(2002), 87-101. abstract
  29. K. Kuribayashi, The cohomology of a pull-back on K-formal spaces, Topology Appl., 125 (2002), 125-159. abstract
  30. K. Kuribayashi, On the Betti number of the space of invariant paths on the space whose cohomology is the exterior algebra with two generators, Topology Appl., 125 (2002), 161-170. abstract
  31. K. Kuribayashi, The S^1-equivariant cohomology of homogeneous spaces as deformations of algebras, Bull. London Math. Soc. 33 (2001), 89-99.
  32. K .Kuribayashi and T. Yamaguchi, On additive K-theory with the Loday--Quillen *-product, Math. Scand. 87 (2000), 5-21.
  33. K. Kuribayashi, Mod p equivariant cohomology of homogeneous spaces, J. Pure and Appl. Algebra 147 (2000), 95-105.
  34. K. Kuribayashi, Module derivations and the adjoint action of a finite loop space, J. Math. Kyoto Univ. 39 (1999), 67-85.
  35. K. Kuribayashi and T. Yamaguchi, The vanishing problem of the string class with degree 3, J. Austral. Math. Soc. (series A) 65 (1998), 129-142.
  36. K. Kuribayashi and T. Yamaguchi, The cohomology algebra of certain free loop spaces, Fund. Math. 154 (1997), 57-73.
  37. K. Kuribayashi, On the vanishing problem of string classes, J. Austral. Math. Soc. (series A) 61 (1996), 258-266.
  38. K. Kuribayashi, On the real cohomology of spaces of free loops on manifolds, Fund. Math. 150 (1996), 173-188.
  39. K. Kuribayashi, The cohomology ring of the space of loops on Lie groups and homogeneous spaces, Pacific J. Math. 163 (1994), 361-391.
  40. K. Kuribayashi, The extension problem and the mod 2 cohomology of the space of loops on Spin(N), Proc. Roy. Soc. Edinburgh 121A (1992), 91-99.
  41. K. Kuribayashi, On the mod p cohomology of the spaces of free loops on the Grassmann and Stiefel manifolds, J. Math. Soc. Japan 43 (1991), 331-346.

    Papers accepted for publication

  42. K. Kuribayashi, T. Naito, S. Wakatsuki and T. Yamaguchi, A reduction of the string bracket to the loop product, 30 pages, to appear in Algebraic & Geometric Topology pdf.

    43. Preprints

  43. K. Kuribayashi, L. Menichi and T. Naito, Remarks on derived string topology, (2017). The title has been changed. The previous one is "Loop products on Noetherian H-spaces".
  44. K. Kuribayashi, T. Naito, S. Wakatsuki and T. Yamaguchi, Cartan calculi on the free loop spaces, (2022) 39 pages. pdf.
  45. K. Kuribayashi, Local systems in diffeology, (2024) 44 pages. A local system model for a topological homotopy pushout is discussed in Section 5.2. pdf.
  46. K. Kuribayashi, On multiplicative spectral sequences for nerves and the free loop spaces, (2024) 29 pages. pdf.
  47. K. Kuribayashi, On Félix and Tanré rational models for polyhedral products, (2024) 19 pages. pdf.

    Proceedings, Survey Notes and Slides

  1. K. Kuribayashi, M. Mimura and M. Tezuka, A multiplication on the twisted tensor product, Cohomology of Finite Groups and Related Topics (Japanese), RIMS Kokyuroku, 1140 (2000), 52-60.
  2. K. Kuribayashi, An operadic model for a mapping space and its associated spectral sequence, July, 2005. pdf
  3. K. Kuribayashi, A function space model approach to the rational evaluation subgroups, May, 2007. pdf
  4. K. Kuribayashi, On the levels of spaces, Cohomology Theory of Finite Groups and Related Topics 2009, RIMS Kokyuroku, September, 2009. pdf
  5. K. Kuribayashi, A Batalin--Vilkovisky algebra structure on the Moore spectral sequence for a Poincaré duality space, Cohomology Theory of Finite Groups and Related Topics 2011. pdf
  6. K. Kuribayashi, On the category of stratifolds -- The Serre--Swan Theorem --, Symposium on Homotopy Theory 2017 (Takamatsu, Japan). Slides pdf
  7. K. Kuribayashi, The non-triviality of the whistle cobordism operation associated with string topology for classifying spaces, Third Pan-Pacific International Conference on Topology and Applications, Chengdu, China, November, 2019 Slides pdf
  8. K. Kuribayashi, A singular de Rham algebra and spectral sequences in diffeology, Global Diffeology Seminar, Online on Zoom, 6 June 2021 Slides pdf
  9. K. Kuribayashi, Cartan calculi on the free loop spaces, Tuesday Seminar on Topology (Graduate School of Math. The University of Tokyo), Online on Zoom, 14 June 2022 Slides pdf
  10. K. Kuribayashi, The de Rham theorem in diffeology, Note for an intensive course, 13--17 June 2022, 34 pages. pdf
  11. K. Kuribayashi, Local systems in diffeology, International Meeting 2022 AMS-EMS-SMF, 18--22 July, 2022, Université Grenoble Alpes, 18 July, 2022 Slides pdf
  12. K. Kuribayashi, On the cohomology algebras of the free loop space of the real projective space and its diffeological version, Monthly global diffeology seminar, 17 May 2023, Online. Slides pdf
  13. K. Kuribayashi, The string bracket, BV -exactness and the Eilenberg--Moore spectral sequence, Iberoamerican and Pan Pacific International Conference on Topology and its Applications, 12 September, 2023, Puebla, Mexico. Slides pdf